A class of submersions and compatible maps in Finsler geometry
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Date
2019-02-01
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Ankara Üniversitesi Fen Fakültesi
Abstract
We introduce a class of submersions between two Finslerian manifolds and the class of Finsler-compatible maps which contains the previous class. Defining also the notion of stretch it follows an upper bound for the stretch of these submersions. If the support manifold for the considered Finslerian geometries is the same we introduce a new function, called conformality, as a way to measure quantitatively the difference between the given geometries.
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Keywords
Finsler fundamental function, Finsler metric, Submersion